Rational cohomology of the moduli space of genus 4 curves

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We prove that the Poincare' polynomial of the moduli space of smooth genus 4 curves is 1+t^2+t^4+t^5. We show this by producing a stratification of the space, such that all strata are geometric quotients of complements of discriminants.
26 pages

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Algebraic Geometry, Algebraic Topology, 14H10 (Primary); 55R80, 14R30, 14F99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/69433

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312055
 http://arxiv.org/abs/math/0312055

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arXiv